{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.随机树法"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 随机树的思想:<br>\n",
    "    首先以随机抽样的方式从数据集中抽取数据和特征子集,之后每棵树依据自己的数据和特征子集构建决策树.<br>\n",
    "    之后利用随机森林做出预测:具体方法是，首先对森林的每棵树做出预测,对于回归问题，可以对结果取平均值做出最终预测<br>\n",
    "    对于分类问题,则用到了软投票的方式，即每个算法做出‘软预测’,给出每个可能的输出标签的概率，对所有的预测结果取平均值,<br>\n",
    "    然后将概率最大的类别作为预测结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1699321a370>,\n",
       " <matplotlib.lines.Line2D at 0x169a959ea90>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 分析随机森林\n",
    "from sklearn.ensemble import RandomForestClassifier\n",
    "from sklearn.datasets import make_moons\n",
    "from sklearn.model_selection import train_test_split\n",
    "import mglearn\n",
    "X,y = make_moons(n_samples=100,noise=60,random_state=3)# 取100个数据\n",
    "X_train,X_test,y_train,y_test = train_test_split(X,y,random_state=42,stratify=y)\n",
    "forest = RandomForestClassifier(n_estimators=5,random_state=2) # 构造5棵随机树\n",
    "forest.fit(X_train,y_train) # 构建模型\n",
    "\n",
    "# 树被保存在estimator_属性中,我们将每棵树的决策边界可视化\n",
    "import matplotlib.pyplot as plt\n",
    "fig,axes = plt.subplots(2,3,figsize=(20,10))\n",
    "for i,(ax,tree) in enumerate(zip(axes.ravel(),forest.estimators_)):\n",
    "    ax.set_title(\"Tree{}\".format(i))\n",
    "    mglearn.plots.plot_tree_partition(X_train,y_train,tree,ax)\n",
    "\n",
    "mglearn.plots.plot_2d_separator(forest,X_train,fill=True,ax=axes[-1,-1],alpha=0.4) \n",
    "axes[-1,-1].set_title(\"Random Forest\")\n",
    "mglearn.discrete_scatter(X_train[:,0],X_train[:,1],y_train)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<P>如图可以看出:5棵树学到的决策边界大不相同,每棵树都犯了一些错误,因为这里画出的一些训练点并没有包含在这些数据集中，原因在自助采样</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "训练集精度:1.0\n",
      "测试集精度:0.972027972027972\n"
     ]
    }
   ],
   "source": [
    "# 将100棵随机树的随机森林应用在乳腺癌数据集上\n",
    "from sklearn.datasets import load_breast_cancer\n",
    "cancer = load_breast_cancer()\n",
    "# 划分数据集\n",
    "X_train,X_test,y_train,y_test = train_test_split(cancer.data,cancer.target,random_state=0)\n",
    "# 实列化随机数对象\n",
    "forest = RandomForestClassifier(n_estimators=100,random_state=0)\n",
    "# 构建随机数模型\n",
    "forest.fit(X_train,y_train)\n",
    "print(f'训练集精度:{forest.score(X_train,y_train)}')\n",
    "print(f\"测试集精度:{forest.score(X_test,y_test)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "def plot_feature_importances_cancer(model):\n",
    "    n_features = cancer.data.shape[1]\n",
    "    plt.barh(range(n_features),model.feature_importances_,align='center')\n",
    "    plt.yticks(np.arange(n_features),cancer.feature_names)\n",
    "    plt.xlabel(\"Feature importance\")\n",
    "    plt.ylabel('Feature')\n",
    "    \n",
    "plot_feature_importances_cancer(forest)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 随机森林的优缺点和参数\n",
    "<P>适用于回归和分类的随机森林是目前应用最广泛的机器学习算法之一,这种方法非常强大。通常不需要反复调节参数就可以给出很好的效果<br>\n",
    "即使是非常大的数据集,随机森林的表现通常也很好.不过此时随机森林需要更大的内存</P>\n",
    "<P>对于维度非常高的稀疏数据(比如文本数据),随即森林的表现往往不好,此时更推荐使用线性模型.</P>\n",
    "<p>需要调节的重要参数有:n_estimators和max_features(甚至包括max_depth 预剪枝选项).通常n_estimators的值越大越好<br>\n",
    ",但此时需要考虑到计算机的性能</p>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.梯度提升回归树(梯度提升机)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<P>梯度提升树是另一种集成方法,通过合并多个决策树来构建一个更为强大的模型。该模型既可以回归也可以分类</P>\n",
    "<P>与随机森林方法不同,梯度提升采用连续的方式构造树,每棵树都试图纠正前一棵树的错误。梯度提升背后的主要思想<br>\n",
    "是合并许多简单的模型，构造一棵精度非常高的树。</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy on train set:1.0\n",
      "测试集精度:0.965034965034965\n"
     ]
    }
   ],
   "source": [
    "# 以乳腺癌数据为例，默认使用100棵树,最大深度为3，学习率为0.1\n",
    "from sklearn.ensemble import GradientBoostingClassifier\n",
    "X_train,X_test,y_train,y_test = train_test_split(cancer.data,cancer.target,random_state=0)\n",
    "# 实例化\n",
    "gbrt = GradientBoostingClassifier(random_state=0)\n",
    "# 构建梯度提升模型\n",
    "gbrt.fit(X_train,y_train)\n",
    "print(f'Accuracy on train set:{gbrt.score(X_train,y_train)}')\n",
    "print(f\"测试集精度:{gbrt.score(X_test,y_test)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<P>存在过拟合的问题可以考虑降低最大深度,或降低学习率</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy on train set:0.9906103286384976\n",
      "测试集精度:0.972027972027972\n"
     ]
    }
   ],
   "source": [
    "# 降低最大深度\n",
    "gbrt = GradientBoostingClassifier(random_state=0,max_depth=1)\n",
    "gbrt.fit(X_train,y_train)\n",
    "print(f'Accuracy on train set:{gbrt.score(X_train,y_train)}')\n",
    "print(f\"测试集精度:{gbrt.score(X_test,y_test)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy on train set:0.9882629107981221\n",
      "测试集精度:0.965034965034965\n"
     ]
    }
   ],
   "source": [
    "# 降低学习率\n",
    "gbrt = GradientBoostingClassifier(random_state=0,learning_rate=0.01)\n",
    "gbrt.fit(X_train,y_train)\n",
    "print(f'Accuracy on train set:{gbrt.score(X_train,y_train)}')\n",
    "print(f\"测试集精度:{gbrt.score(X_test,y_test)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "gbrt=GradientBoostingClassifier(random_state=0,max_depth=1)\n",
    "gbrt.fit(X_train,y_train)\n",
    "plot_feature_importances_cancer(gbrt)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 梯度提升树的优缺点和参数\n",
    "<P>梯度提升决策树是监督学习中最强大也是最常用的模型之一.该模型适用于二元特征与连续特征同时存在的场景,也适用于其他场景，其缺点是需要仔细调参<br>\n",
    "它同样也不适用于高纬度系数数据\n",
    "</P>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<P>梯度提升树主要参数包括:n_estimators和学习率learning_rate以及max_depth.通过调节learbing_rate和max_depth来构造模型的复杂度</P>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
